Hi! I appreciate your help with the result and approach for these questions. Thanks!

Let * and Y be independent positive random variables. Let Z = X/Y. In what follows, all occurrences of , y, & are assumed to be positive numbers. 1. Suppose that X and Y are discrete, with known PMFs, px and py . Then, pZY (zy) = Px (?) . What is the argument in the place of the question mark? 2. Suppose that X and Y are continuous, with known PDFs, fx and fy. Provide a formula, analogous to the one in part (a), for far (z | y) in terms of fx. That is, find A and B in the formula below. far (zly) = Afx ( B) . A = B = 3. Which of the following is a formula for fz (2)? fz ( 2 ) = ... (Choose all that apply.) Of2 (2 ) = fx,z (y,z ) dy f2 ( 2 ) = fx.z ( y , 2 ) dz fz ( 2 ) - fx (2 ) fax ( z,y ) dy $2 ( 2 ) = [ fx (2 ) far ( lu ) dy 12 ( 2 ) = [ fx (y ) fx ( yz ) dy 12 (2 ) = / ufr ( 2 ) fx ( uz ) dy